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Finding the Fourth Proportional to 13,198.55, 18,214.01 and 7,230.44

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Solution

The fourth proportional to 13,198.55, 18,214.01 and 7,230.44 is: 9,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.55 : 18,214.01 = 7,230.44 : x
  2. Step 2: Convert to fraction form
    13,198.55/18,214.01 = 7,230.44/x
  3. Step 3: Cross multiply
    13,198.55x = 18,214.01 × 7,230.44
  4. Step 4: Simplify right side
    13,198.55x = 131,695,179.24
  5. Step 5: Solve for x
    x = 131,695,179.24/13,198.55
  6. Step 6: Final answer
    x = 9,978.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.